Question

The manager of the Danvers-Hilton Resort Hotel stated that the mean guest bill for a weekend is $600 or less. A member of the hotel's accounting staff noticed that the total charges for guest bills have been increasing in recent months. The accountant will use a sample of future weekend guest bills to test the manager's claim.

a. Which form of the hypotheses should be used to test the manager's claim?

H0:

is it: greater than or equal to 600/ greater than 600/less than or equal to 600/less than 600/equal to 600/not equal to 600?

Ha:  

is it:greater than or equal to 600/ greater than 600/less than or equal to 600/less than 600/equal to 600/not equal to 600?

Answer 1

Concepts and reason

The null hypothesis $({H_0})$ states that in the general population there is no change, no difference, or no relationship. It is the statement about the population parameter that will be assumed to be true during the conduct of the hypothesis test.

The alternative hypothesis $({H_A})$ states that there is a change, a difference, or a relationship for the general population. The hypothesis that includes all population values not included in the null hypothesis.

Fundamentals

The null hypothesis is represented by ${H_0}$ . It contains an equality sign, such as $= , \le ,{\rm{or }} \ge$ .

The alternative hypothesis is represented by ${H_A}$ . It contains a inequality sign, such as $\ne , < ,{\rm{or }} >$ .

(a)

From the given information, the mean guest bill for a weekend is $600 or less.

The null hypothesis is stated as,

${H_0}:$ The mean guest bill for a weekend is less than or equal to $600.

Using the statement of null hypothesis that mean guest bill for a weekend is $600 or less, assume the alternative hypothesis.

The alternative hypothesis includes all population values not including in the null hypothesis.

The alternative hypothesis is stated as,

${H_A}:$ The mean guest bill for a weekend is greater than $600.

Ans: Part a

The mean guest bill for a weekend is less than or equal to $600.

The mean guest bill for a weekend is greater than $600.